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Finding the Fourth Proportional to 57.15, 86.23 and 55.29

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Solution

The fourth proportional to 57.15, 86.23 and 55.29 is: 83.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.15 : 86.23 = 55.29 : x
  2. Step 2: Convert to fraction form
    57.15/86.23 = 55.29/x
  3. Step 3: Cross multiply
    57.15x = 86.23 × 55.29
  4. Step 4: Simplify right side
    57.15x = 4,767.66
  5. Step 5: Solve for x
    x = 4,767.66/57.15
  6. Step 6: Final answer
    x = 83.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.